The generator matrix

 1  0  1  1  1 2X X+2  1  1  1 3X+2  1  1  1  1  2  1 3X  1  1  1  1  1  1  1  X  1  0 3X  X  2  2
 0  1 X+1 3X+2  3  1  1 2X 2X+3 X+2  1 2X+1 X+3 X+1  2  1 3X  1  X  1  0  0 3X X+2  2  2 3X+3  X  1  1  1  1
 0  0  2 2X+2 2X  2  0  2 2X+2  0 2X+2 2X 2X+2  0  2  2 2X 2X 2X+2  2 2X 2X+2  0  2  0 2X+2 2X 2X+2  2  0 2X  0

generates a code of length 32 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+268x^30+128x^31+342x^32+32x^33+172x^34+32x^35+39x^36+8x^38+1x^40+1x^44

The gray image is a code over GF(2) with n=256, k=10 and d=120.
This code was found by Heurico 1.16 in 17.9 seconds.